1. 11.1 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 11 Message Integrity and Message Authentication

2. Message Authentication message authentication is concerned with: protecting the integrity of a message validating identity of originator non-repudiation of origin (dispute resolution) will consider the security requirements then three alternative functions used: message encryption message authentication code (MAC) hash function

3. Security Requirements disclosure traffic analysis masquerade content modification sequence modification timing modification source repudiation destination repudiation

4. Message Encryption message encryption by itself also provides a measure of authentication if symmetric encryption is used then: receiver know sender must have created it since only sender and receiver now key used know content cannot of been altered if message has suitable structure, redundancy or a checksum to detect any changes

6. Digital Signatures have looked at message authentication but does not address issues of lack of trust digital signatures provide the ability to: verify author, date & time of signature authenticate message contents be verified by third parties to resolve disputes hence include authentication function with additional capabilities

7. Digital Signature Properties must depend on the message signed must use information unique to sender to prevent both forgery and denial must be relatively easy to produce must be relatively easy to recognize & verify be computationally infeasible to forge with new message for existing digital signature with fraudulent digital signature for given message be practical save digital signature in storage

8. Message Encryption if public-key encryption is used: encryption provides no confidence of sender since anyone potentially knows public-key however if sender signs message using their private-key then encrypts with recipients public key have both secrecy and authentication again need to recognize corrupted messages but at cost of two public-key uses on message

12. Message Authentication Code (MAC) generated by an algorithm that creates a small fixed-sized block depending on both message and some key like encryption though need not be reversible appended to message as a signature receiver performs same computation on message and checks it matches the MAC provides assurance that message is unaltered and comes from sender

13. Message Authentication Codes as shown the MAC provides confidentiality can also use encryption for secrecy generally use separate keys for each can compute MAC either before or after encryption is generally regarded as better done before why use a MAC? sometimes only authentication is needed sometimes need authentication to persist longer than the encryption (eg. archival use) note that a MAC is not a digital signature

17. MAC Properties a MAC is a cryptographic checksum MAC = C K (M) condenses a variable-length message M using a secret key K to a fixed-sized authenticator is a many-to-one function potentially many messages have same MAC but finding these needs to be very difficult

18. Requirements for MACs taking into account the types of attacks need the MAC to satisfy the following: 1. knowing a message and MAC, is infeasible to find another message with same MAC 2. MACs should be uniformly distributed 3. MAC should depend equally on all bits of the message

19. Using Symmetric Ciphers for MACs can use any block cipher chaining mode and use final block as a MAC Data Authentication Algorithm (DAA) is a widely used MAC based on DES-CBC using IV=0 and zero-pad of final block encrypt message using DES in CBC mode and send just the final block as the MAC or the leftmost M bits (16≤M≤64) of final block but final MAC is now too small for security

21. Hash Functions condenses arbitrary message to fixed size usually assume that the hash function is public and not keyed cf. MAC which is keyed hash used to detect changes to message can use in various ways with message most often to create a digital signature

22. Hash Function Properties a Hash Function produces a fingerprint of some file/message/data h = H(M) condenses a variable-length message M to a fixed-sized fingerprint assumed to be public

29. Requirements for Hash Functions 1. can be applied to any sized message M 2. produces fixed-length output h 3. is easy to compute h=H(M) for any message M 4. given h is infeasible to find x s.t. H(x)=h one-way property 5. given x is infeasible to find y s.t. H(y)=H(x) weak collision resistance 6. is infeasible to find any x,y s.t. H(y)=H(x) strong collision resistance

30. Simple Hash Functions are several proposals for simple functions based on XOR of message blocks not secure since can manipulate any message and either not change hash or change hash also need a stronger cryptographic function (next chapter)

31. Birthday Attacks might think a 64-bit hash is secure but by Birthday Paradox is not birthday attack works thus: opponent generates 2 m / 2 variations of a valid message all with essentially the same meaning opponent also generates 2 m / 2 variations of a desired fraudulent message two sets of messages are compared to find pair with same hash (probability > 0.5 by birthday paradox) have user sign the valid message, then substitute the forgery which will have a valid signature conclusion is that need to use larger MACs

32. Block Ciphers as Hash Functions can use block ciphers as hash functions using H 0 =0 and zero-pad of final block compute: H i = E M i [H i-1 ] and use final block as the hash value similar to CBC but without a key resulting hash is too small (64-bit) both due to direct birthday attack and to “meet-in-the-middle” attack other variants also susceptible to attack

33. Hash Functions & MAC Security like block ciphers have: brute-force attacks exploiting strong collision resistance hash have cost 2 m / 2 have proposal for h/w MD5 cracker 128-bit hash looks vulnerable, 160-bits better MACs with known message-MAC pairs can either attack keyspace (cf key search) or MAC at least 128-bit MAC is needed for security

34. Hash Functions & MAC Security cryptanalytic attacks exploit structure like block ciphers want brute-force attacks to be the best alternative have a number of analytic attacks on iterated hash functions CV i = f[CV i-1, M i ]; H(M)=CV N typically focus on collisions in function f like block ciphers is often composed of rounds attacks exploit properties of round functions